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158<br />

Tabela F.4: Comparação do erro da variável <strong>de</strong> interesse ( I<br />

DDS−2<br />

) entre as quatro formas <strong>de</strong><br />

aplicar as condições <strong>de</strong> contorno<br />

x<br />

DDS−2<br />

∆<br />

I<br />

I<br />

DDS−2<br />

x<br />

DDS−2<br />

∆<br />

I<br />

x<br />

DDS−2<br />

∆<br />

Sem vol fict Com vol fict<br />

Com meio vol<br />

Com esp zero<br />

0,33333 0,04269 0,04269 0,5 1,53392 0,33333 0,04269<br />

0,11111 0,0119 0,0119 0,25 0,0592 0,11111 0,0119<br />

0,03704 0,00276 0,00276 0,125 0,01131 0,03704 0,00276<br />

0,01235 7,73186E-4 7,73186E-4 0,0625 0,0025 0,01235 7,73186E-4<br />

0,00412 2,41036E-4 2,41036E-4 0,03125 5,8796E-4 0,00412 2,41036E-4<br />

0,00137 7,84799E-5 7,84799E-5 0,01563 1,42716E-4 0,00137 7,84799E-5<br />

4,57247E-4 2,59523E-5 2,59523E-5 0,00781 3,51597E-5 4,57247E-4 2,59523E-5<br />

1,52416E-4 8,62768E-6 8,62768E-6 0,00391 8,7259E-6 1,52416E-4 8,62768E-6<br />

5,08053E-5 2,87333E-6 2,87333E-6 0,00195 2,17352E-6 5,08053E-5 2,87333E-6<br />

1,69351E-5 9,57491E-7 9,57491E-7 9,76563E-4 5,4239E-7 1,69351E-5 9,57491E-7<br />

5,64503E-6 3,19132E-7 3,19132E-7 4,88281E-4 1,35474E-7 5,64503E-6 3,19132E-7<br />

1,88168E-6 1,06374E-7 1,06374E-7 2,44141E-4 3,38531E-8 1,88168E-6 1,06374E-7<br />

6,27225E-7 3,54575E-8 3,54575E-8 1,2207E-4 8,46134E-9 6,27225E-7 3,54575E-8<br />

2,09075E-7 1,18191E-8 1,18191E-8 6,10352E-5 2,11509E-9 2,09075E-7 1,18191E-8<br />

6,96917E-8 3,93971E-9 3,93971E-9 3,05176E-5 5,28743E-10 6,96917E-8 3,93971E-9<br />

2,32306E-8 1,31324E-9 1,31324E-9 1,52588E-5 1,32182E-10 2,32306E-8 1,31324E-9<br />

7,62939E-6<br />

3,8147E-6<br />

1,90735E-6<br />

9,53674E-7<br />

4,76837E-7<br />

2,38419E-7<br />

1,19209E-7<br />

5,96046E-8<br />

2,98023E-8<br />

1,49012E-8<br />

3,3045E-11<br />

8,2612E-12<br />

2,06529E-12<br />

5,16322E-13<br />

1,2908E-13<br />

3,22701E-14<br />

8,06752E-15<br />

2,01688E-15<br />

5,0422E-16<br />

1,26055E-16<br />

I<br />

As Tabs. F.5 e F.6 mostram as or<strong>de</strong>ns para a variável<br />

mostram as or<strong>de</strong>ns para a variável <strong>de</strong> interesse<br />

resultados das or<strong>de</strong>ns para a variável<br />

or<strong>de</strong>ns para a variável <strong>de</strong> interesse I<br />

DDS−2<br />

.<br />

T<br />

nod<br />

. As Tabs. F.7 e F.8<br />

T<br />

m , ret<br />

. As Tabs. F.9 a F.11 mostram os<br />

E<br />

m<br />

. E, finalmente, as Tabs. F. 12 e F.13 mostram as<br />

Tabela F.5: Or<strong>de</strong>ns assintótica, efetiva e aparente do erro <strong>de</strong> discretização para a variável <strong>de</strong><br />

T com a forma com volume fictício<br />

interesse ( )<br />

nod<br />

∆ x<br />

pL<br />

nod<br />

pE<br />

nod<br />

pU<br />

nod<br />

0,333333333333333 2,00000000000000<br />

0,111111111111111 2,00000000000000 1,89848147714928<br />

0,0370370370370370 2,00000000000000 1,99331401346653 1,88579619259551<br />

0,0123456790123457 2,00000000000000 1,99928905236680 1,99256370897277<br />

0,00411522633744856 2,00000000000000 1,99992138172741 1,99920997261766<br />

0,00137174211248285 2,00000000000000 1,99999126925322 1,99991264531511<br />

4,57247370827618E-4 2,00000000000000 1,99999902997399 1,99999029915731<br />

1,52415790275873E-4 2,00000000000000 1,99999989222004 1,99999892219316<br />

5,08052634252909E-5 2,00000000000000 1,99999998802446 1,99999988024448<br />

1,69350878084303E-5 2,00000000000000 1,99999999866938 1,99999998669384<br />

5,64502926947676E-6 2,00000000000000 1,99999999985215 1,99999999852154<br />

1,88167642315892E-6 2,00000000000000 1,99999999998357 1,99999999983573<br />

6,27225474386307E-7 2,00000000000000 1,99999999999817 1,99999999998175<br />

2,09075158128769E-7 2,00000000000000 2,00000000000000 1,99999999999794<br />

6,96917193762563E-8 2,00000000000000 2,00000000000265 1,99999999999966<br />

2,32305731254188E-8 2,00000000000000 1,99999999987858 2,00000000001816

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